Several comments based on the IPC:
- Your diagram is confusing because it appears you are attempting to show 3 dimensions on the page, without any guidance or system for which lines are actually vertical.
- In your picture, it appears you have a 3" drain line running through your joists. For the IRC, the largest prescriptively allowable hole diameter in a joist is 1/3 the joist depth. All holes need to avoid the top and bottom 2" of height of the joist. Holes in joists also must not have any notches above or below them.
If your joists were 2x12 (they look smaller) at 11.25" of depth, then you could drill a 3.75" hole through them for a 3.5" OD 3" DWV pipe, as long as that hole is in the central 7.25" of the joist height. But you have notches below your holes. So the joists with the 3" DWV passing through them will need to be repaired.
- For a bathroom, you always have to dry vent the lavatory (the highest trap in the room) with a vent through the roof or with an AAV. That vent needs to connect to the lavatory trap arm above the floor, within one trap diameter of fall from the trap outlet. Typically via a san-tee in the wall behind the lavatory. So do you have that?
Typically that is the only dry vent you need, as you can wet vent all the other fixtures. The diagram below shows just the underfloor drain piping you would then need, along with the minimum sizes, where green is 1.5", blue is 2", and red is 3". The green line from the vanity is the one that is dry vented above the floor. Note that the tub and the shower trap arms have to be "short enough", meaning that the trap arm may only fall one trap diameter before joining the drain that wet vents the fixture (the drain carrying the lavatory drainage).
- If for some reason you want to dry vent every fixture, let us know and we can answer the actual questions you posted in the OP.
Cheers, Wayne
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